Dear Readers,
Mahendras has started special quizzes for IBPS PO & RRB Exam so that you can practice more and more to crack the examination. This IBPS PO & RRB Exam special quiz series will mold your preparations in the right direction and the regular practice of these quizzes will be really very helpful in scoring good marks in the Examination. Here we are providing you the important question of reasoning ability for the IBPS PO & RRB Exam.
Q-(1-5) Find the wrong term.
गलत पद ज्ञात कीजिये।
Q-(1) 4885 3516 4607 3764 4389 3948
(1) 4885
(2) 3948
(3) 3764
(4) 3516
(5) 4607
Q-(2) 83 153 470 1872 9362 56167
(1) 1872
(2) 470
(3) 153
(4) 83
(5) 56167
Q-(3) 17 16 40 93 438 2055
(1) 2055
(2) 438
(3) 17
(4) 16
(5) 40
Q-(4) 17576 13824 10648 8000 5833 4096
(1) 10648
(2) 17576
(3) 4096
(4) 5833
(5) 8000
Q-(5) 28 25 70 336 2340 21045
(1) 25
(2) 336
(3) 28
(4) 70
(5) 21045
(6) Walking at
of her normal speed Manya takes 2 hours more than normal time. What is the normal time?
मान्या अपनी सामान्य गति की
चाल से चलती है तो उसे 2 घण्टे अधिक लगते है। सामान्य समय क्या है?
(1) 4 h
(2) 5 h
(3) 7.5 h
(4) 6 h
(5) None 0f these
(7) A man reduces his speed from 20 km/h to 18 km/h. So, he takes 10 minutes more than the normal time. What is the distance travelled by him?
एक आदमी अपनी गति 20 किमी / घंटा से 18 किमी / घंटा कर देता है। तो, वह सामान्य समय से 10 मिनट अधिक लेता है।उसके द्वारा तय की गई दूरी क्या है?
(1) 30 km
(2) 45 km
(3) 40 km
(4) 50 km
(5) None of these
(8) If Rahul had walked 20 km/h faster he would have saved 1 hour in the distance of 600 km. What is the usual speed of Rahul?
यदि राहुल 20 किमी / घंटा तेजी से चलता है तो वह 600 किमी की दूरी तय करने में 1 घंटे समय कम लेता है। राहुल की सामान्य चाल क्या है ?
(1) 120 km/h
(2) 80 km/h
(3) 100 km/h
(4) 75 km/h
(5) None of these
(9) Harsha takes 3 hours more than Bharat, who drives his car 5 km/h faster than Harsha drives, to cover 180 km distance. What is the speed of Harsha?
हर्षा, भरत से 3 घंटे अधिक समय लेती है, जो 180 की दूरी तय करने में हर्षा से 5 किमी /घंटा अधिक तेज़ गाडी चलाता है। हर्षा की गति क्या है ?
(1) 12 km/h
(2) 10 km/h
(3) 15 km/h
(4) 20 km/h
(5) None of these
(10) What is the time required by a train of length of 350m to cross an electric pole with a speed of 70 m/s?
350 मीटर की एक ट्रेन 70 मीटर प्रति सेकंड की चाल से एक इलेक्ट्रिक पोल को पार करने में कितना समय लेगी?
(1) 12 s
(2) 8 s
(3) 10 s
(4) 5 s
(5) None of these
Answer Key-
Q-(1) Sol-(5)
-372, +332, -292, +252, -212
Q-(2) Sol-(1)
×2 -13, ×3 +11, ×4 - 9, ×5 +7, ×6 - 5
Q-(3) Sol-(2)
×1 -13, ×2 +23, ×3 -33, ×4 +43, ×5 -53
Q-(4) Sol-(4)
263, 243, 223, 203, 183, 163
Q-(5) Sol-(4)
×1 - 3, ×3 - 6, ×5 - 9, ×7 - 12, ×9 - 15
Q-(6) Sol-(4)
Let initial speed and time of Manya is S2 and t2 respectively
Speed and time of Manya is after S2 and t2 respectively.
From the question- S2=3/4 S1 and t2= t1+2
And S1 xt1=S2x t2=> on solving t1=3/4 (t1+2)
t1= 6 hours
Q-(7) Sol-(1)
Using formula - S1 x t1=S2 x t2
Hence distance =
km
Q-(8) Sol-(3)
S1 x S2= distance ×![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
Hence factorise in such a manner that the difference between both speed is 20 we
get, S1 =100km/h, S2= 120 km/h
Speed of Rahul=100 km/h
Q-(9) Sol-(3)
S1 x(S1+5)= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADYAAAAoCAYAAAC1mQk2AAACIUlEQVRoBe2ZixHDIAiGnSsDOU+myTIZhh4gBonRal+01971YtRYPn9Acg3wo5/glmtfYQkBgnzjNmSqW7B9XQ6oEGCQC5yCbRBHSYyePsG2mNWa5XMItsO6qNjCGJugcwimfeqAHGVzDsaQWxxX7SvAAGNuULKvARvk8pruVZzhQb2ssKuue5pJsRSkFwuQjzcqAH2Yju7syUhbcVzYdHrOdASADaIYXVmEoFT/KZDpzInABQ+v9TCcMXLmNscY7boC4MVYyWVVjoAgeR6PFyDF+IxJz3nmLrADBAA3IIOS2yygueHUhyqKosroydhRKzSbHTBAEq6ySZYNYlYLgNLwyeiaOxq4F0MhcR8MZ1EcYZljdr6IL9nAGhgtwsq9AepOMIwjBGKDC7gaWFK4iDthxjW04rn/+Y2uYpgFc0yReOFIHgTRizExOrljQ7H8UilZunKV1XrXDljNrZKBtPI5K9azq34mxe2Llctg9rziHWHDdVakeNNGFem9txFqnxvKqVnTzfKAJumNa0GCE7fQUOlnn1p5TKOUD2bFyu7vv/uDvVdDjlXJkvWjo22RQ8XKDMrxawqDNhON+gPbd/PuhaA2ofXJ/IFZm/FYmPBF32APnHVuwfTZWNSnVtGLe7dgYq8A6npVxlpX92CQKp8fBMPXwZ/5t0U52WQC8eeK+W09/TFRKboV9mXTH9ilqWMDf7Cx/fr87L9in9dgzIIb2kn6JFNZORcAAAAASUVORK5CYII=)
S1=15 km/h
Q-(10) Sol-(4)
Time required = ![](data:image/png;base64,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)
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